Complete GATE MT 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 20 of 22

Question 58

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MTNAT2 marksNeeds review
A non-porous spherical Fe

O

particle of initial radius of

is topochemically reduced by H

, where the reactant-product interface is sharp and spherical, and reaction rate is proportional to the interfacial area. The radius of the unreacted Fe

O

particle after 600

will be ______

. (Round off to the nearest integer).
Given: Rate constant


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Question 59

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MTNAT2 marksNeeds review
A long metallic cylindrical rod of radius

, length

(

) and electrical resistivity

is kept in vacuum and is carrying an electric current of

. The only way it loses heat to the ambient is via radiation. If the ambient temperature is

, then the steady-state temperature of the rod is ________

. (Round off to the nearest integer).
Given: Stefan-Boltzmann constant =



Neglect the heat loss by the two flat ends of the rod and assume emissivity = 1.

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Question 60

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MTNAT2 marksNeeds review
100

of sphalerite concentrate containing 60% ZnS is COMPLETELY roasted with stoichiometric amount of pure oxygen. The amount of oxygen required is _____

. (Round off to one decimal place).
Assume that the other components in the concentrate are not reactive.
Given: Atomic weight values (in

) for Zn = 65, S = 32, O = 16.

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